Recognizing Union-Find trees is NP-complete

نویسندگان

  • Kitti Gelle
  • Szabolcs Iván
چکیده

Disjoint-Set forests, consisting of Union-Find trees are data structures having a widespread practical application due to their efficiency. Despite them being well-known, no exact structural characterization of these trees is known (such a characterization exists for Union trees which are constructed without using path compression). In this paper we provide such a characterization and show that the decision problem whether a given tree is a Union-Find tree is NP-complete.

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عنوان ژورنال:
  • Inf. Process. Lett.

دوره 131  شماره 

صفحات  -

تاریخ انتشار 2018